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Finding the Fourth Proportional to 593.92, 819.75 and 361

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Solution

The fourth proportional to 593.92, 819.75 and 361 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.92 : 819.75 = 361 : x
  2. Step 2: Convert to fraction form
    593.92/819.75 = 361/x
  3. Step 3: Cross multiply
    593.92x = 819.75 × 361
  4. Step 4: Simplify right side
    593.92x = 295,929.75
  5. Step 5: Solve for x
    x = 295,929.75/593.92
  6. Step 6: Final answer
    x = 498.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.